NIST

height-balanced tree

(data structure)

Definition: A tree whose subtrees differ in height by no more than one and the subtrees are height-balanced, too. An empty tree is height-balanced.

Generalization (I am a kind of ...)
balanced tree.

See also BB(α) tree, balanced binary tree height-balanced binary search tree.

Note: After [HS83, page 442].

Author: PEB

More information

[Knuth98, 3:459, Sect. 6.2.3]


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Entry modified 20 December 2004.
HTML page formatted Fri Feb 23 10:06:07 2018.

Cite this as:
Paul E. Black, "height-balanced tree", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 20 December 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/heightBalancedTree.html